I have 2 male cats ~ Ragdoll Xs so quite large. Both give all the chickens a wide berth. My hunter was disciplined by a BR pullet early on. She stretched her neck up & her wings out & I've never seen a hunting cat back down so fast!There are 3 cats at my place (they are not my cats personally) plus some from the neighbors. They are all absolutely and completely terrified of broody hens. I've watched each of the cats being whomped by the hens. They only take a beating once and then stay well away. I was worried by my sister-in-law's cat as this one actually can catch mice and birds, but she is fully terrified of the hens too when they have chicks.
If you have a tough broody mama I wouldn't think cats are going to be your problem.

